A Note on the Algebraic Independence of Liouville Numbers
Year: 2026
Type: article
Abstract: In 1985, Adams [‘The algebraic independence of certain Liouville continued fractions’, Proc. Amer. Math. Soc. 4 (1985), 512–516] proved that any finite number of Liouville series in different bases are algebraically independent. In this paper, we prove the equivalence between algebraic and linear independence when the bases are equal.
Author: LUIZ GUSTAVO DALPIZOL
Institution: Universidade do Estado de Santa Catarina
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,550
OpenAlex ID: W7164911959